Sentence examples for there existed both from inspiring English sources

Where variation in the pheromone-coding region was observed within a2 genomes, there existed both nonsynonymous nucleotide substitutions and a three-nucleotide insertion/deletion mutation corresponding to an amino-acid length change in the putative pheromone peptide.

In fact, there existed both favourable and adverse prognostic confounders that may have biased the results towards either the PORT or non-PORT group.

To address this issue, we tested the 14 gene clusters on 46 HT patients for whom there existed both Affymetrix500k and Affymet-rix100k data and on 200 HT patients who had both Affymetrix500k and Illumina550k data (not used in the test datasets).

Clearly there exists both motive and opportunity for fraud and fabrication in many cases.

Then all solutions are global if λ 1 ≥ 1, and there exist both global and nonglobal solutions if λ 1 < 1. Theorem 1.3 If p > max { m, q }, then there exist both global and nonglobal solutions to (1.1).

We further observe that there exist both a substitution effect and a complementary effect between the concession period and the subsidy level.

The resonant problem of multi-parallel inverters is complex [76, 77], and there exists both a fixed and an unfixed resonant band.

Furthermore we establish that, if C X)⊊C X)′, there exist both a C∗-subalgebra properly between C X) and C X)′ which has the aforementioned intersection property, and such a C∗-subalgebra which does not have this property.

Conversely, if the consumption space has low dimension relative to the number of observations, then there exist both rational and irrational preference relations that can never be revealed by choices.

It is well understood, and there exists both exact theory and efficient numerical algorithms for calculation of the distribution of safety related wave characteristics, such as crest height and steepness.

I find this the case both in abstract and in how it plays out in politics and world religion -- within each of the major traditions there exists both those who are aware of the necessity of flexibility, and groups of followers who are less willing to accommodate others or see their position as beliefs vs. singular truth.